A ball is projected horizontally with a speed v from the top of plane inclined at an angle 45o with the horizontal. How far from the point of projection will the ball strike the plane?

Question

A ball is projected horizontally with a speed v from the top of plane inclined at an angle 45o with the horizontal. How far from the point of projection will the ball strike the plane? (A) (2v2/g) (B) √2[(2v2/g)] (C) (v2/g) (D) √2(v2/g)

Tardigrade Admin · Accepted Answer

x= vt or y=(1/2) gt2 <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/fda30299e7539027fc900a8f2b5b8d0f-.jpeg" /> or y=(gx2/2v2) or =(gx2/2v2) or x=(2v2/g) Also, y=(2v2/g) or l2=x2+y2 l=√2 × x or l=√2[(2v2/g)]

Q. A ball is projected horizontally with a speed v from the top of plane inclined at an angle $4 5^{o}$ with the horizontal. How far from the point of projection will the ball strike the plane?

$\frac{2 v ^{2}}{g}$

$2 [\frac{2 v ^{2}}{g}]$

$\frac{v ^{2}}{g}$

$2 \frac{v ^{2}}{g}$

$x = v t$ or $y = \frac{1}{2} g t^{2}$

$or y = \frac{g x ^{2}}{2 v ^{2}} or < b r / > = \frac{g x ^{2}}{2 v ^{2}} or x = \frac{2 v ^{2}}{g}$

Also, $y = \frac{2 v ^{2}}{g} or l^{2} = x^{2} + y^{2}$

$l = 2 \times x$

or $l = 2 [\frac{2 v ^{2}}{g}]$

Q. A ball is projected horizontally with a speed v from the top of plane inclined at an angle 45o with the horizontal. How far from the point of projection will the ball strike the plane?

g2v2​

2​[g2v2​]

gv2​

2​gv2​